The Real Number System

Essential Question:

How does the real number system provide a foundation for understanding and categorizing all numbers used in mathematics and the real world?

Portrait of a Graduate:

Critical Thinking: Analyze and categorize numbers within the real number system, applying this understanding to complex problems.

Communication: Effectively explain the properties of the real number system and its applications in various contexts.

Global Citizenship: Recognize the universal application of the real number system in disciplines such as science, engineering, and finance.

Inquiry Question:

What are the different subsets of the real number system, and how are they defined?

2. Inquiry Question:

How do operations on real numbers follow specific properties, and why are these properties important?

3. Inquiry Question:

In what ways do real numbers apply to real-world situations, and how do they help us solve problems?

Student Outcomes:

Students will identify and classify numbers within the subsets of the real number system.

2. Student Outcomes:

Students will understand and apply the properties of operations on real numbers.

3. Student Outcomes:

Students will demonstrate the application of real numbers in solving real-world problems, emphasizing their importance in various fields.

Standards:

8.NS.A.1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion.

8.NS.A.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

HSN.RN.A.1: Explain how the definition of the meaning of rational and irrational numbers expands the number system beyond the natural numbers, integers, and rational numbers.

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